The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the horizontal distance (in feet) from the end of the diving board. What is the maximum height of the diver?

Q: How will you know if a function increases and decreases and how will you locate the maximum and…

A: Let y = f(x) be any function given

Q: Use a graphing utility to approximate the relative minimum of the function f(x) = 3x2 − 4x − 2.

A:

Q: Differentiate the function using the three step rule. Show your solution. f(x)=(x)/(√(x-4))

A: You must have idea about three step differentiation method.

Q: Sketch the curve: f(x) = x* – 6x²

A: given function f(x)=x4-6x2we have to sketch the curve put the value of x=-2  , we get f(-2)=-8 put…

Q: Which function has x-intercepts at −2π, −π, 0, π, 2π?

A: Given-  The function has its x- intercepts at -2pi, -pi, 0 , pi, 2pi

Q: A bus can accommodate a maximum of 60 passengers. If X denotes the number of male passengers, what…

A: If there are maximum 60 passengers that can be accommodated in the bus, then the possibilities of…

Q: What is the maximum point on the curve = 2 + 12? − x3

A: Maxima minima problem

Q: What is the equation of the line passing through the vertices of the graphs of the functions f(x) =…

A:

Q: Find the maximum value of f(x) = - + 6

A: The maximum value of the function is the topmost point in the curves of the function. For a…

Q: Find the maximum of f(x) = -x4 - 2*x3 - 8*x2 -5*x in the range of [-2, 1]

A:

Q: Find the slope of the graph for the function f(x) = 3sinx + 11 at the point (7,11)

A: The function is f(x)=3 sin(x)+11

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = x* – 4x?.

A: To Determine: use the leading coefficient test to determine the end behaviour of the graph of f(x).…

Q: Determine the roots of the function f(x) = (5²x – 6)² – (5²× – 6) – 12. - -

A:

Q: Find x-intercept of: f(x) = -2x2 - 5x + 1

A:

Q: When a company charges p per unit, it can sell 100 − 2p units. What is the revenue function?" I'm…

A: Given that:-price per item=punits of item sold=100-2pTo find: the revenue function

Q: What are the points of intersection of the graphs of thefunctions f(x) = - 3x + 2 and g(x) = x2 - 2x…

A: f(x)=-3x+2 and g(x)=x2-2x-4

Q: Use a graphing utility to approximate the relative maximum of the function f(x) = −4x2 − 7x + 3.

A: f(x)=-4x2-7x+3

Q: Find the maximum value of the function below. f(x) = -1 - 2x - 2x2

A: Given : fx = -1-2x-2x2

Q: Use the function’s equation, f(x) = -x2 + 14x - 106 and not its graph, to find; a. the minimum or…

A: we have been given  f(x) = -x2 + 14x - 106 we have to tell the minimum and maximum value . also we…

Q: Find the function P(x) of a company selling x items is given by P(x)=x³+9x²-15x+13 where x…

A: The function P(x) of a company selling x items is Px=x3+9x2-15x+13

Q: Find the point at which the line f() = --1 intersects the line g(a) 2 + 8

A: Two lines f(x)=-x-1 and g(x)=2x+8 , we have to find the point at which both lines intersects.

Q: List the intervals of increasing and decreasing for f(x)=10x²–37x +189. List all local maximums and…

A:

Q: Is the point (3, 12) on the graph of the function g(x) = x2 + 5x - 10?

A: Given function, g(x)=x2+5x-10

Q: What is Range v(x+5)-2?

A:

Q: Find the value of f(x)=-16x3+18x2-x+2 at x= -2

A: Given: fx=-16x3+18x2-x+2 To Find:  The value of fx at x=-2

Q: Determine the absolute maximum of f(x) = 2x3 - 5x2 - 16x + 6 on the interval [-2,3]

A:

Q: Is the point (4, 14) on the graph of the function g(x) = (x2 + 4)>(x + 2)?

A: Given inequality is: gx=x2+4>x+2 Given point is (4, 14).

Q: The axis of symmetry of the graph of f(x)=2(x+9)2-3 has equation...

A: Given,

Q: Find the point on the graph of f(x) = √x that is closest to the point (6, 0).

A:

Q: Find the upper 1 % point of F2,5.

A: The degrees of freedom for numerator is 2 and the degrees of freedom for denominator is 5. Software…

Q: Find all the maximum and minimum values of f(x)=8x5-15x4+10x2

A:

Q: Can a quadratic function have a range of (- ∞, ∞)? Justify your answer (Please dumb it down)

A:

Q: Find the domain of f(x)=2x+10/3x+4 Enter the solution in interval notation.

A: Consider the function  f(x)=2x+103x+4

Q: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: 2 The maximum value of (-3 + 4x – x + 4)2 + (x – 5)2

A: Introduction :

Q: What are the minimum and maximum values of the function Ax) = x3 on the interval [-3, 2]? a minimum:…

A: Check by first derivative in the given interval and than find minimum and maximum values.

Q: Find the points of inflection. 7) f(x)=x√√9-x2

A:

Q: Find and label as minimum or maximum the stationary points for: f(x)-x -20х+105

A: We will solve the problem

Q: Find the absolute maximum value of y-81-x on the interval [-9, 9].

A:

Q: Find the absolute maximum value and the absolute minimum value f(x) = x/(64+x^2)

A: We find the critical points first. For that we need f'(x).

Q: A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of…

A: The farmer has total of 2000ft. fencing. 1.5 sides of the plot of land border a river. w is the side…

Q: ) Sketch the curve: f(x) = x* – 6x²

A: Given function is fx=x4-6x2

Q: Find the length x. X 2.

A:

Q: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3.   What is…

A: Given for a linear function , Slope =-3 and passes through (1,-9)

Q: what is the maximUM value for the funcion flx)<~x? + 2x+2?

A: Take the derivative of the given function and equate to zero.

Q: Describe the end behavior of f(x) = -2x3

A: Given polynomial, fx=-2x3

Q: A manufacturer finds that the profit obtained by selling x units of a certain product is given by…

A: Given that the profit function of selling x units of a product is given by Px=-0.2x2+400x-2500. It…

Q: What is the sum of all y-coordinates of the inflection points of f(x)=xS-5x4+3x - 2?

A:

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A: